25365 + Interview Questions in Mathematics Page 69 InterviewSolution

3401.	In the given figure, AB\|\|CD and if ∠CFE=90∘, then ∠FEB= __∘.
Answer» In the given figure, AB\|\|CD and if $∠ C F E = 90^{\circ}$ , then $∠ F E B =$ __ $^{\circ}$ .

3401.

In the given figure, AB||CD and if ∠CFE=90∘, then ∠FEB= __∘.

Answer»

In the given figure, AB||CD and if $∠ C F E = 90^{\circ}$ , then $∠ F E B =$ __ $^{\circ}$ .

3402.	Two numbers are such that the ratio between them is 3 : 5. If each is increased by 10, the ratio between the new numbers so formed is 5 : 7. Find the original numbers.
Answer» Two numbers are such that the ratio between them is 3 : 5. If each is increased by 10, the ratio between the new numbers so formed is 5 : 7. Find the original numbers.

Discussion

3403.	The list below shows the number of members in 20 families in a village. Make a frequency table and then answer these questions:(i) How many families have exactly 6 members?(ii) How many have fewer than 5 members?(iii) How many have just 2 members? Now make three such questions of your own.
Answer» The list below shows the number of members in 20 families in a village. Make a frequency table and then answer these questions: (i) How many families have exactly 6 members? (ii) How many have fewer than 5 members? (iii) How many have just 2 members? Now make three such questions of your own.

3403.

The list below shows the number of members in 20 families in a village. Make a frequency table and then answer these questions:(i) How many families have exactly 6 members?(ii) How many have fewer than 5 members?(iii) How many have just 2 members? Now make three such questions of your own.

Answer»

The list below shows the number of members in 20 families in a village.

Make a frequency table and then answer these questions:

(i) How many families have exactly 6 members?

(ii) How many have fewer than 5 members?

(iii) How many have just 2 members?

Now make three such questions of your own.

Discussion

3404.	In how many ways, can the students answer 3 true or false type questions in a slip test?8
Answer» In how many ways, can the students answer 3 true or false type questions in a slip test? 8

Discussion

3405.	Length of the two parallel sides of a trapezium are 8.5 cm and 11.5 cm respectively and its height is 4.2 cm, find its area.
Answer» Length of the two parallel sides of a trapezium are 8.5 cm and 11.5 cm respectively and its height is 4.2 cm, find its area.

Discussion

3406.	Question 15Write the correct answer from the given four options.The next two numbers in the number pattern 1, 4, 9, 16, 25, .... area) 35, 48b) 36, 49c) 36, 48d) 35, 49
Answer» Question 15 Write the correct answer from the given four options. The next two numbers in the number pattern 1, 4, 9, 16, 25, .... are a) 35, 48 b) 36, 49 c) 36, 48 d) 35, 49

3406.

Question 15Write the correct answer from the given four options.The next two numbers in the number pattern 1, 4, 9, 16, 25, .... area) 35, 48b) 36, 49c) 36, 48d) 35, 49

Answer»

Question 15

Write the correct answer from the given four options.

The next two numbers in the number pattern 1, 4, 9, 16, 25, .... are

a) 35, 48

b) 36, 49

c) 36, 48

d) 35, 49

Discussion

3407.	Question 11In the following figure, E is a point on side CB produced, of an isosceles triangle ABC, with AB = AC. If AD ⊥ BC and EF ⊥ AC, prove that ΔABD∼ΔECF.
Answer» Question 11 In the following figure, E is a point on side CB produced, of an isosceles triangle ABC, with AB = AC. If AD $⊥$ BC and EF $⊥$ AC, prove that $Δ A B D \sim Δ E C F$ .

Discussion

3408.	In Fig. AB > AC. Show that AB > AD. [4 MARKS]
Answer» In Fig. AB > AC. Show that AB > AD. [4 MARKS]

3408.

In Fig. AB > AC. Show that AB > AD. [4 MARKS]

Answer»

In Fig. AB > AC. Show that AB > AD. [4 MARKS]

Discussion

3409.	5x×(−4yz)×3xz =.
Answer» $5 x \times (- 4 y z) \times 3 x z$ =.

Discussion

3410.	Identify the fractions equivalent to 210.
Answer» Identify the fractions equivalent to $\frac{2}{10}$ .

Discussion

3411.	Which one among the following is correct?
Answer» Which one among the following is correct?

Discussion

3412.	A line segment has a ____ and ____.
Answer» A line segment has a ____ and ____.

Discussion

3413.	In the adjoining figure, if ∠QPR=60∘ and ∠SPR=70∘, then ∠QRS= ___.
Answer» In the adjoining figure, if $∠ Q P R = 60^{\circ}$ and $∠ S P R = 70^{\circ}$ , then $∠ Q R S$ = ___.

3413.

In the adjoining figure, if ∠QPR=60∘ and ∠SPR=70∘, then ∠QRS= ___.

Answer»

In the adjoining figure, if $∠ Q P R = 60^{\circ}$ and $∠ S P R = 70^{\circ}$ , then $∠ Q R S$ = ___.

Discussion

3414.	The numbers 345111 is divisible by A. 15 B. 12 C. 9 D. 3
Answer» The numbers 345111 is divisible by A. 15 B. 12 C. 9 D. 3

3414.

The numbers 345111 is divisible by A. 15 B. 12 C. 9 D. 3

Answer»

The numbers 345111 is divisible by

A. 15

B. 12

C. 9

D. 3

Discussion

3415.	The following pie chart gives the distribution of constituents in the human body. The central angle of the part showing the distribution of protein and dry elements is
Answer» The following pie chart gives the distribution of constituents in the human body. The central angle of the part showing the distribution of protein and dry elements is

Discussion

3416.	39. Construct a rhombus whose diagonals are 6cm and 8cm .justify
Answer» 39. Construct a rhombus whose diagonals are 6cm and 8cm .justify

Discussion

3417.	What property of a square is used in Method 2 of construction of a square?
Answer» What property of a square is used in Method 2 of construction of a square?

Discussion

3418.	A man sells 12 articles for Rs.80 gaining 3313 % Find the number of articles bought by the man for 90.
Answer» A man sells 12 articles for Rs.80 gaining 33 $\frac{1}{3}$ % Find the number of articles bought by the man for 90.

Discussion

3419.	The factor(s) of a4−b4 is/are
Answer» The factor(s) of $a^{4} - b^{4}$ is/are

Discussion

3420.	If (X)+(1/X)=4, then find the value of 1. (X)^3+(1/X)^32.(X)^3-(1/X)^33.(X)-(1/X)
Answer» If (X)+(1/X)=4, then find the value of 1. (X)^3+(1/X)^3 2.(X)^3-(1/X)^3 3.(X)-(1/X)

Discussion

3421.	If a number is divisible by both 2 and 3, it is also divisible by___.
Answer» If a number is divisible by both 2 and 3, it is also divisible by___.

Discussion

3422.	Question 72Find the perimeter of the given figure.
Answer» Question 72 Find the perimeter of the given figure.

3422.

Question 72Find the perimeter of the given figure.

Answer»

Question 72

Find the perimeter of the given figure.

Discussion

3423.	Simplify: 35×105×2557×65
Answer» Simplify: $\frac{3^{5} \times 10^{5} \times 25}{5^{7} \times 6^{5}}$

Discussion

3424.	What is the square root of 36?
Answer» What is the square root of 36?

Discussion

3425.	Regardez l'image et répondez.1. Que fait la femme?2. Nommez quatre choses que vous voyez dans l'image.
Answer» Regardez l'image et répondez. 1. Que fait la femme? 2. Nommez quatre choses que vous voyez dans l'image.

Discussion

3426.	Match the values with the corresponding laws of exponents.
Answer» Match the values with the corresponding laws of exponents.

Discussion

3427.	Solve: p−p−12=1−p−23 [2 MARKS]
Answer» Solve: $p - \frac{p - 1}{2} = 1 - \frac{p - 2}{3}$ [2 MARKS]

Discussion

3428.	The value of 26×32 calculated using binomial multiplication is
Answer» The value of $26 \times 32$ calculated using binomial multiplication is

Discussion

3429.	Factorise the expression: 2y2−4y−30
Answer» Factorise the expression: $2 y^{2} - 4 y - 30$

Discussion

3430.	Mary is wrapping a can of paint to gift it to a friend. If the can is 11 inches high and has a diameter of 7 inches, how many square inches of wrapping paper will be used?
Answer» Mary is wrapping a can of paint to gift it to a friend. If the can is 11 inches high and has a diameter of 7 inches, how many square inches of wrapping paper will be used?

Discussion

3431.	Find the compound interest if the amount of a certain principal after two years is ₹4036.80 at the rate of 16 p.c.p.a.
Answer» Find the compound interest if the amount of a certain principal after two years is ₹4036.80 at the rate of 16 p.c.p.a.

Discussion

3432.	The point slope form of a line is given by:
Answer» The point slope form of a line is given by:

Discussion

3433.	Identify which of the following is not a linear equation in two variable?
Answer» Identify which of the following is not a linear equation in two variable?

Discussion

3434.	Attempt this question on a graph paper. Marks 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80 80 – 90 90 – 100 No. of students 5 10 14 21 25 34 36 27 16 12 Draw an ogive for the given distribution taking 2cm = Rs.10 marks on one axis & 2cm = 5 students on the other axis. Using the graph determine:
Answer» Attempt this question on a graph paper. Marks 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80 80 – 90 90 – 100 No. of students 5 10 14 21 25 34 36 27 16 12 Draw an ogive for the given distribution taking 2cm = Rs.10 marks on one axis & 2cm = 5 students on the other axis. Using the graph determine:

3434.

Attempt this question on a graph paper. Marks 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80 80 – 90 90 – 100 No. of students 5 10 14 21 25 34 36 27 16 12 Draw an ogive for the given distribution taking 2cm = Rs.10 marks on one axis & 2cm = 5 students on the other axis. Using the graph determine:

Answer»

Attempt this question on a graph paper.

Marks 0 – 10 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80 80 – 90 90 – 100

No. of students 5 10 14 21 25 34 36 27 16 12

Draw an ogive for the given distribution taking 2cm = Rs.10 marks on one axis & 2cm = 5 students on the other axis. Using the graph determine:

Discussion

3435.	For what value of k, the pair of linear equations 3x+ky=9 and 6x+4y=18 has infinitely many solutions?
Answer» For what value of k, the pair of linear equations $3 x + k y = 9$ and $6 x + 4 y = 18$ has infinitely many solutions?

Discussion

3436.	4yz(z2+6z−16)÷2y(z+8)=
Answer» $4 y z (z^{2} + 6 z - 16) \div 2 y (z + 8) =$

Discussion

3437.	If 20 metres of a cloth costs ₹ 160, then how many metres of cloth can be bought for ₹ 90.
Answer» If 20 metres of a cloth costs ₹ 160, then how many metres of cloth can be bought for ₹ 90.

Discussion

3438.	For what value of x will △ABC≅△XYZ?10
Answer» For what value of $x$ will $△ A B C ≅ △ X Y Z$ ? 10

3438.

For what value of x will △ABC≅△XYZ?10

Answer»

For what value of $x$ will $△ A B C ≅ △ X Y Z$ ?

10

Discussion

3439.	A tricycle is sold at a gain of 16%. Had it been sold for Rs. 100 more, the gain would have been 20%. Find the C.P of the tricycle.
Answer» A tricycle is sold at a gain of $16 %$ . Had it been sold for Rs. 100 more, the gain would have been $20 %$ . Find the C.P of the tricycle.

Discussion

3440.	Question 86State whether the following statement is true or false:Square of a number is positive, so the cube of that number will also be positive.
Answer» Question 86 State whether the following statement is true or false: Square of a number is positive, so the cube of that number will also be positive.

3440.

Question 86State whether the following statement is true or false:Square of a number is positive, so the cube of that number will also be positive.

Answer»

Question 86

State whether the following statement is true or false:

Square of a number is positive, so the cube of that number will also be positive.

Discussion

3441.	If a − b = 4 and ab = 21, find the value of a3 −b3
Answer» If a − b = 4 and ab = 21, find the value of a³ −b³

Discussion

3442.	Factorise: 25−a2−b2−2ab
Answer» Factorise: $25 - a^{2} - b^{2} - 2 a b$

Discussion

3443.	The largest number that divides 64 and 72 and leave the remainders 12 and 7 respectively, is(a) 17 (b) 13 (c) 14 (d) 18
Answer» The largest number that divides 64 and 72 and leave the remainders 12 and 7 respectively, is (a) 17 (b) 13 (c) 14 (d) 18

Discussion

3444.	If 29 stars share 2407 asteroids equally, form an equation for the number of asteroids around each star.
Answer» If 29 stars share 2407 asteroids equally, form an equation for the number of asteroids around each star.

Discussion

3445.	If x : y = 2 : 5 , then find 3x : 5y.
Answer» If x : y = 2 : 5 , then find 3x : 5y.

Discussion

3446.	show that the product of thee positive integer is divisible by 6.
Answer» show that the product of thee positive integer is divisible by 6.

Discussion

3447.	x/3+4=x/4+8
Answer» x/3+4=x/4+8

Discussion

3448.	If →a=2^i−3^j+^k,→b=−^i+^k,→c=2^j−^k, then area of parallelogram having diagonals →a+→b and →b+→c (in sq. units) is
Answer» If $\to a = 2^i - 3^j +^k, \to b = -^i +^k, \to c = 2^j -^k,$ then area of parallelogram having diagonals $\to a + \to b$ and $\to b + \to c$ (in sq. units) is

Discussion

3449.	Find the area of the following figure (in sq. inches).
Answer» Find the area of the following figure (in sq. inches).

Discussion

3450.	The following pie chart gives the marks obtained by a student in different subjects - English, Hindi, Mathematics, Science and Social Science in a test.If the total marks obtained in the test are 540, then the marks scored in Social Science exceeds the marks scored in English by __ marks.
Answer» The following pie chart gives the marks obtained by a student in different subjects - English, Hindi, Mathematics, Science and Social Science in a test. If the total marks obtained in the test are 540, then the marks scored in Social Science exceeds the marks scored in English by __ marks.

Discussion

Explore topic-wise InterviewSolutions in .

In the given figure, AB||CD and if ∠CFE=90∘, then ∠FEB= __∘.

Two numbers are such that the ratio between them is 3 : 5. If each is increased by 10, the ratio between the new numbers so formed is 5 : 7. Find the original numbers.

The list below shows the number of members in 20 families in a village. Make a frequency table and then answer these questions:(i) How many families have exactly 6 members?(ii) How many have fewer than 5 members?(iii) How many have just 2 members? Now make three such questions of your own.

In how many ways, can the students answer 3 true or false type questions in a slip test?8

Length of the two parallel sides of a trapezium are 8.5 cm and 11.5 cm respectively and its height is 4.2 cm, find its area.

Question 15Write the correct answer from the given four options.The next two numbers in the number pattern 1, 4, 9, 16, 25, .... area) 35, 48b) 36, 49c) 36, 48d) 35, 49

Question 11In the following figure, E is a point on side CB produced, of an isosceles triangle ABC, with AB = AC. If AD ⊥ BC and EF ⊥ AC, prove that ΔABD∼ΔECF.

In Fig. AB &gt; AC. Show that AB &gt; AD. [4 MARKS]

5x×(−4yz)×3xz =.

Identify the fractions equivalent to 210.

Which one among the following is correct?

A line segment has a ____ and ____.

In the adjoining figure, if ∠QPR=60∘ and ∠SPR=70∘, then ∠QRS= ___.

The numbers 345111 is divisible by A. 15 B. 12 C. 9 D. 3

The following pie chart gives the distribution of constituents in the human body. The central angle of the part showing the distribution of protein and dry elements is

39. Construct a rhombus whose diagonals are 6cm and 8cm .justify

What property of a square is used in Method 2 of construction of a square?

A man sells 12 articles for Rs.80 gaining 3313 % Find the number of articles bought by the man for 90.

The factor(s) of a4−b4 is/are

If (X)+(1/X)=4, then find the value of 1. (X)^3+(1/X)^32.(X)^3-(1/X)^33.(X)-(1/X)

If a number is divisible by both 2 and 3, it is also divisible by___.

Question 72Find the perimeter of the given figure.

Simplify: 35×105×2557×65

What is the square root of 36?

Regardez l'image et répondez.1. Que fait la femme?2. Nommez quatre choses que vous voyez dans l'image.

Match the values with the corresponding laws of exponents.

Solve: p−p−12=1−p−23 [2 MARKS]

The value of 26×32 calculated using binomial multiplication is

Factorise the expression: 2y2−4y−30

Mary is wrapping a can of paint to gift it to a friend. If the can is 11 inches high and has a diameter of 7 inches, how many square inches of wrapping paper will be used?

Find the compound interest if the amount of a certain principal after two years is ₹4036.80 at the rate of 16 p.c.p.a.

The point slope form of a line is given by:

Identify which of the following is not a linear equation in two variable?

For what value of k, the pair of linear equations 3x+ky=9 and 6x+4y=18 has infinitely many solutions?

4yz(z2+6z−16)÷2y(z+8)=

If 20 metres of a cloth costs ₹ 160, then how many metres of cloth can be bought for ₹ 90.

For what value of x will △ABC≅△XYZ?10

A tricycle is sold at a gain of 16%. Had it been sold for Rs. 100 more, the gain would have been 20%. Find the C.P of the tricycle.

Question 86State whether the following statement is true or false:Square of a number is positive, so the cube of that number will also be positive.

If a − b = 4 and ab = 21, find the value of a3 −b3

Factorise: 25−a2−b2−2ab

The largest number that divides 64 and 72 and leave the remainders 12 and 7 respectively, is(a) 17 (b) 13 (c) 14 (d) 18

If 29 stars share 2407 asteroids equally, form an equation for the number of asteroids around each star.

If x : y = 2 : 5 , then find 3x : 5y.

show that the product of thee positive integer is divisible by 6.

x/3+4=x/4+8​​​​

If →a=2^i−3^j+^k,→b=−^i+^k,→c=2^j−^k, then area of parallelogram having diagonals →a+→b and →b+→c (in sq. units) is

Find the area of the following figure (in sq. inches).​​

The following pie chart gives the marks obtained by a student in different subjects - English, Hindi, Mathematics, Science and Social Science in a test.If the total marks obtained in the test are 540, then the marks scored in Social Science exceeds the marks scored in English by __ marks.

In Fig. AB > AC. Show that AB > AD. [4 MARKS]

A line segment has a and .

x/3+4=x/4+8

Find the area of the following figure (in sq. inches).